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Finding the Fourth Proportional to 1,002.51, 1,503.18 and 385.74

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Solution

The fourth proportional to 1,002.51, 1,503.18 and 385.74 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.51 : 1,503.18 = 385.74 : x
  2. Step 2: Convert to fraction form
    1,002.51/1,503.18 = 385.74/x
  3. Step 3: Cross multiply
    1,002.51x = 1,503.18 × 385.74
  4. Step 4: Simplify right side
    1,002.51x = 579,836.65
  5. Step 5: Solve for x
    x = 579,836.65/1,002.51
  6. Step 6: Final answer
    x = 578.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.